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Simplifying 2.7k + 2.4 = 3 + 3(k + 2) Reorder the terms: 2.4 + 2.7k = 3 + 3(k + 2) Reorder the terms: 2.4 + 2.7k = 3 + 3(2 + k) 2.4 + 2.7k = 3 + (2 * 3 + k * 3) 2.4 + 2.7k = 3 + (6 + 3k) Combine like terms: 3 + 6 = 9 2.4 + 2.7k = 9 + 3k Solving 2.4 + 2.7k = 9 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 2.4 + 2.7k + -3k = 9 + 3k + -3k Combine like terms: 2.7k + -3k = -0.3k 2.4 + -0.3k = 9 + 3k + -3k Combine like terms: 3k + -3k = 0 2.4 + -0.3k = 9 + 0 2.4 + -0.3k = 9 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -0.3k = 9 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -0.3k = 9 + -2.4 -0.3k = 9 + -2.4 Combine like terms: 9 + -2.4 = 6.6 -0.3k = 6.6 Divide each side by '-0.3'. k = -22 Simplifying k = -22
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